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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=-3/4, b1`>=-11/2 > For fixed z and a1=-3/4, b1`=11/2





http://functions.wolfram.com/07.22.03.ab0n.01









  


  










Input Form





HypergeometricPFQ[{-(3/4)}, {11/2, 21/4}, -z] == (1/(33554432 z^(9/2))) (3 (Sqrt[Pi] z^(1/4) (366522975 - 451105200 z + 178214400 z^2 - 43868160 z^3 + 20643840 z^4 + 1048576 z^5) FresnelC[(2 z^(1/4))/Sqrt[Pi]] - 2 ((-Sqrt[z]) (-56865375 + 16309440 z - 3709440 z^2 + 1228800 z^3 + 65536 z^4) Cos[2 Sqrt[z]] + 4 (38707200 - 32654475 z + 12015360 z^2 - 2956800 z^3 + 1277952 z^4 + 65536 z^5) Sin[2 Sqrt[z]])))










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02